return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C3H4N2 (1H-Pyrazole)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-224.884849
Energy at 298.15K-224.890955
Nuclear repulsion energy 
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3669 3503 99.49      
2 A' 3343 3192 0.03      
3 A' 3318 3167 0.78      
4 A' 3312 3162 2.32      
5 A' 1557 1486 15.21      
6 A' 1460 1393 12.11      
7 A' 1415 1351 8.52      
8 A' 1373 1310 3.56      
9 A' 1269 1211 2.10      
10 A' 1166 1113 3.95      
11 A' 1145 1093 20.29      
12 A' 1080 1031 5.71      
13 A' 1006 961 17.54      
14 A' 962 918 3.57      
15 A' 943 900 20.13      
16 A" 963 919 0.51      
17 A" 899 858 13.74      
18 A" 799 763 94.14      
19 A" 692 660 51.31      
20 A" 664 634 7.26      
21 A" 615 587 83.19      

Unscaled Zero Point Vibrational Energy (zpe) 15824.1 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 15105.7 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/3-21G
ABC
0.31627 0.30899 0.15629

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 2.113 0.725 0.000
C2 1.117 0.318 0.000
H3 1.282 -1.879 0.000
C4 0.677 -0.991 0.000
H5 -1.447 -1.717 0.000
C6 -0.737 -0.909 0.000
N7 -1.175 0.361 0.000
H8 -0.063 2.109 0.000
N9 0.000 1.104 0.000

Atom - Atom Distances (Å)
  H1 C2 H3 C4 H5 C6 N7 H8 N9
H11.07572.73272.23714.31653.28463.30782.57912.1465
C21.07572.20321.38103.27332.22302.29222.14481.3653
H32.73272.20321.07452.73332.23973.32484.20893.2463
C42.23711.38101.07452.24421.41612.29293.18732.2012
H54.31653.27332.73332.24421.07582.09624.06923.1703
C63.28462.22302.23971.41611.07581.34353.09262.1432
N73.30782.29223.32482.29292.09621.34352.07191.3900
H82.57912.14484.20893.18734.06923.09262.07191.0077
N92.14651.36533.24632.20123.17032.14321.39001.0077

picture of 1H-Pyrazole state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C2 C4 130.775 H1 C2 N9 122.684
C2 C4 H3 127.145 C2 C4 C6 105.259
C2 N9 N7 112.595 C2 N9 H8 128.705
H3 C4 C6 127.596 C4 C2 N9 106.541
C4 C6 H5 127.958 C4 C6 N7 112.353
H5 C6 N7 119.689 C6 N7 N9 103.252
N7 N9 H8 118.701
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.251      
2 C 0.120      
3 H 0.217      
4 C -0.390      
5 H 0.241      
6 C 0.049      
7 N -0.306      
8 H 0.367      
9 N -0.549      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.197 0.920 0.000 2.382
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.206 2.623 0.000
y 2.623 -21.336 0.000
z 0.000 0.000 -32.090
Traceless
 xyz
x -2.493 2.623 0.000
y 2.623 9.312 0.000
z 0.000 0.000 -6.819
Polar
3z2-r2-13.638
x2-y2-7.870
xy2.623
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 80.910
(<r2>)1/2 8.995